What do you mean by virtue and vice? The “interactions” of “particles” are words related to concepts held within the domain of your mind. There is no such thing as a particle, in the sense of ordinary interactive objects in the environment. If a “chair” is a “thing” then a “particle” isn’t a thing. Although if a “legal system” is a thing, then so is a particle. Depends on which Popperian world you live in.
Yes, the phenomenon are related, in that they are both emergent phenomenon within the mind.
Or another way to put it, is no, they are not related at all.